Zero Curvature and generalization of Painlevé equation from AKNS/Lund-Regge model

2012/06/05 by Danilo V. Ruy, Ruy, Danilo V., Genilson R. de Melo +1
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.1206.1037

This paper has been withdrawn by the author due to a crucial misinterpretation of the results

arxiv created 2013/03/13 · arxiv updated 2013/03/14

Abstract

We explain the relation between the mixed mKdV/sinh-Gordon model and the Kudryashov's equation. Then, we use the mixed AKNS/Lund-Regge model to find a system of ODEs which is candidate to define a new transcendental function. We also applied the perturbative Painlevé test and presented the local representation for the solution of the system.

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